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Regulation & Antitrust Policy (Econ 180) Drake University, Spring 2009 William M. Boal Signature: Printed name: QUIZ #2 VERSION A "Review: Cost, Profit, and Social Welfare" INSTRUCTIONS: This exam is closed-book, closed-notes. Simple calculators are permitted, but graphing calculators or calculators with alphabetical keyboards are NOT permitted. Numerical answers, if rounded, must be correct to at least 3 significant digits. Point values for each question are noted in brackets. I. Problems: Insert your answer to each question below in the box provided. Feel free to use the margins for scratch workonly the answers in the boxes will be graded. Work carefullypartial credit is not normally given for questions in this section. (1) [Short-run cost curves: 12 pts] General Manufacturing Company operates a small plant whose daily cost is $900 whether the plant is idle or running. In addition, the company has labor, energy, and materials costs that depend on the amount of output, as shown in the schedule below. Output per day Cost of labor, energy, and materials 0 $ 0 SAVC SAFC SATC SMC $ 30 $600 $ $ $ $ 60 $900 $ $ $ $ 90 a. b. c. d. $2700 $ $ $ Compute the company’s short-run average variable cost schedule (SAVC). Insert your answers above. Compute the company’s short-run average fixed cost schedule (SAFC). Insert your answers above. Compute the company’s short-run average total cost schedule (SATC). Insert your answers above. Compute the company’s short-run marginal cost schedule (SMC). Insert your answers above. Regulation & Antitrust Policy (Econ 180) Drake University, Spring 2009 Quiz #1 Version A Page 2 of 7 $18 $17 $16 $15 $14 $13 $12 $11 $10 $9 $8 $7 $6 $5 $4 $3 $2 $1 $0 SMC SAVC Quantity a. Suppose Acme were currently producing 1500 doorknobs. If Acme produced one more doorknob, by how much would its total cost increase? That is, what would be the change in cost as Acme increased output from 1500 to 1501 doorknobs? (Give an answer to the nearest dollar.) b. What is Acme's break-even pricethat is, the lowest price at which the company can avoid losses? (Give an answer to the nearest dollar.) c. What is Acme's shut-down pricethat is, the lowest price at which it will remain in operation in the short run? (Give an answer to the nearest dollar.) d. Suppose the price of doorknobs is $16. How many doorknobs will Acme produce? (Give an answer to the nearest hundred.) e. Will Acme make a profit or a loss at a price of $16? $ $ $ doorknobs f. Suppose the price of doorknobs is $7 How many doorknobs will Acme produce? (Give an answer to the nearest hundred.) g. Will Acme make a profit or a loss at a price of $7? doorknobs h. Suppose the price of doorknobs is $3 How many doorknobs will Acme produce? (Give an answer to the nearest hundred.) i. Will Acme make a profit or a loss at a price of $3? doorknobs 2000 1900 1800 1700 1600 1500 1400 1300 1200 1100 1000 900 800 700 600 500 400 300 200 100 SATC 0 Marginal & average cost (2) [Short-run cost curves and supply: 18 pts] Acme Doorknob Company makes doorknobs. It is a small firm in a big market, and therefore takes its output price as given. In the short run, Acme faces daily cost curves as shown in the following diagram. Here, SMC denotes short-run marginal cost, SAVC denotes short-run average variable cost, and SATC denotes short-run average total cost. Regulation & Antitrust Policy (Econ 180) Drake University, Spring 2009 Quiz #1 Version A Page 3 of 7 (3) [Producer surplus: 20 pts] Consider the market supply curve for calculators shown in the graph below. $30 Price $25 $20 $15 $10 $5 $0 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Quantity supplied (millions) a. What is the marginal cost of the first calculator (to the nearest dollar)? $ b. What is the marginal cost of the 4 millionth calculator (to the nearest dollar)? c. What is the marginal cost of the 16 millionth calculator (to the nearest dollar)? $ $ Suppose the market price of calculators is $15. d. How many calculators are sold by producers? million e. How much revenue is received by producers? $ million f. If the sale of calculators were banned altogether (for some reason), would producers be better off, worse off, or just as well off? g. ... by how much? [Hint: Compute total producer surplus.] $ million Now suppose the market price of calculators rises from $15 to $25. h. How many calculators are now sold by producers? i. If the price of calculators rises from $15 to $25, are producers better off, worse off, or just as well off? j. ... by how much? [Hint: Compute the change in producer surplus.] million $ million Regulation & Antitrust Policy (Econ 180) Drake University, Spring 2009 Quiz #1 Version A Page 4 of 7 Price (4) [Demand, consumer surplus: 20 pts] Consider the market demand curve for pocket calculators shown in the graph below. $50 $45 $40 $35 $30 $25 $20 $15 $10 $5 $0 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Quantity (millions) a. How much are consumers willing to pay for the first calculator (to the nearest dollar)? b. How much are consumers willing to pay for the six millionth calculator (to the nearest dollar)? c. How much are consumers willing to pay for the fourteen millionth calculator (to the nearest dollar)? $ $ $ Suppose the market price of calculators is $15. d. How many calculators are purchased by consumers? million e. How much money is spent by consumers on calculators? $ million f. If the sale of calculators were banned altogether (for some reason), would consumers be better off, worse off, or just as well off? g. ... by how much? [Hint: Compute total consumer surplus.] $ million Now suppose the market price of calculators rises from $15 to $25. h. How many calculators are now purchased by consumers? i. Are consumers better off, worse off, or just as well off as before the price increase? j. ... by how much? [Hint: Compute the change in consumer surplus.] million $ million Regulation & Antitrust Policy (Econ 180) Drake University, Spring 2009 Quiz #1 Version A Page 5 of 7 Price (5) [Welfare effects of price controls: 12 pts] The graph below shows the market for vitamins. $16 $15 $14 $13 $12 $11 $10 $9 $8 $7 $6 $5 $4 $3 $2 $1 $0 Demand Supply 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 Quantity (millions) Suppose a price floor (or legal minimum price) of $8 is imposed on the market for vitamins. No vitamins may be sold for less than the price floor. a. Compute the quantity traded with the price floor. million b. Does producer surplus increase or decrease because of the price floor, as compared to the market without government intervention? (Assume optimistically that vitamins are actually sold by those sellers with the lowest costs.) c. By how much? $ million d. Does consumer surplus increase or decrease because of the price floor, as compared to the market without government intervention? e. By how much? $ million f. Compute the deadweight social loss caused by the price floor. $ million Regulation & Antitrust Policy (Econ 180) Drake University, Spring 2009 Quiz #1 Version A Page 6 of 7 III. True/False/Explain: State whether each claim below is true or false. Explain your answer using a graph. Full credit requires correct economic reasoning, legible writing, good grammar including complete sentences, correct spelling, and an accurate graph. (1) [6 pts] To maximize profit, a firm that takes price as given should select an output level to maximize per-unit profit—that is, it should select the output level where the difference between price and average cost is greatest. Cost per unit MC AC Output quantity (2) [6 pts] Suppose that Consumer A was buying 40 gallons per month of gasoline last June, when the price was $4.00 per gallon, and that in the next few months, the price of gasoline dropped to $1.50 per gallon, a decrease of $2.50. Therefore the benefit for Consumer A of this price reduction, measured as the change in consumer surplus, was therefore $100 per month. Price D Quantity Regulation & Antitrust Policy (Econ 180) Drake University, Spring 2009 Quiz #1 Version A Page 7 of 7 (3) [6 pts] One tool that President Obama could use to get the economy going again would be to impose price floors or legal minimum prices on goods—such as cars, appliances, and computers—because price floors tend to increase the quantity traded in a market. Price S D Quantity [end of quiz]